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Finding the Fourth Proportional to 543,405.80, 815,723.10 and 321,914.60

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Solution

The fourth proportional to 543,405.80, 815,723.10 and 321,914.60 is: 483,235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,405.80 : 815,723.10 = 321,914.60 : x
  2. Step 2: Convert to fraction form
    543,405.80/815,723.10 = 321,914.60/x
  3. Step 3: Cross multiply
    543,405.80x = 815,723.10 × 321,914.60
  4. Step 4: Simplify right side
    543,405.80x = 262,593,175,447.26
  5. Step 5: Solve for x
    x = 262,593,175,447.26/543,405.80
  6. Step 6: Final answer
    x = 483,235.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.